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Highway safety engineers test new road signs, hoping that increased reflectivity will make them more visible to drivers. Volunteers drive through a test course with several of the new and old-style signs and rate which kind shows up the best.
a) Is this a one-tailed or a two-tailed test? Why?
b) In this context, what would a Type I error be?
c) In this context, what would a Type II error be?
d) In this context, describe what is meant by the power of the test.
e) If the hypothesis is tested at the 1% level of significance instead of 5%, how will this affect the power of the test?
f) The engineers hoped to base their decision on the reactions of 50 drivers, but time and budget constraints may force them to cut back to 20. How would this affect the power of the test? Explain.
If we were to repeat an experiment a large number of times and calculate a statistic such as the mean for each experiment, the distribution of these experiments would be called?
The final examination of a course requires an essay. The number of pages from a sample of 25 students were collected. The data are:
Graph the distribution using a histogram. Calculate the mean and standard deviation.
A sample of size 36 results in a sample mean of 7.1. The value of the test statistic is ____
You are considering adding a new food product to your store for resale. Explain how many units of the new product should be purchased for resale.
Can the company claim that they are faster than the average utility?
For an arch chosen at random in Arches National Park, use the preceding information to estimate the probability that the height of the arch poening is:
Scores on certain nationwide college entrance examination follow normal distribution with mean of 500 and a standard deviation of 100. Determine the probability that student will score?
A recent study claimed that 15% of all eighth- grade students are overweight. In a sample of 80 students, 9 were found to be overweight. At a= 0.01, is there enough evidence to reject the claim using critical values?
What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
The 95% confidence interval is defined as ____. a) an interval such that we are 95% confident that the population value lies within the interval b) an interval such that the probability is 0.95 that the interval contains the population value
What is the best prediction for the number of products sold based on advertising costs of $7000?
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